Azir Ultimate + Zhonya'd Enemy
I think even though Zhonya makes you un-targetable, I think you should still be "moveable" minus knockup.
I think Azir Ultimate should actually move someone who Zhonya's, but do no damage. Visually it makes more sense too. So basically non-targeted displacement should still displace excluding knockup.
Examples of Yes/No for Displacements
Yes (non targeted displacement), but no damage dealt, only displacement Azir Emperor's Divide, Yes Taliyah Weaver's Wall, Yes. Orianna Shockwave, Yes. Trundle Pillar, Yes, but no slow unless they still in slow zone after zhonya ends.
No's (requires targeting or is knockup) Alistar Headbutt, No, targeted Vayne Condemn, No, targeted Tristana Buster Shot, No, targeted Malphite Unstoppable Force, No (is knockup)